225939456 has 156 divisors (see below), whose sum is σ = 679787472. Its totient is φ = 74981376.

The previous prime is 225939443. The next prime is 225939463. The reversal of 225939456 is 654939522.

225939456 is a `hidden beast` number, since 2 + 2 + 593 + 9 + 4 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995215 + ... + 995441.

It is an arithmetic number, because the mean of its divisors is an integer number (4357612).

Almost surely, 2^225939456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225939456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339893736).

225939456 is an abundant number, since it is smaller than the sum of its proper divisors (453848016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225939456 is an frugal number, since it uses more digits than its factorization.

225939456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 232 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 225939456 is about 15031.2825800063. The cubic root of 225939456 is about 609.0655368816.

The spelling of 225939456 in words is "two hundred twenty-five million, nine hundred thirty-nine thousand, four hundred fifty-six".